SHMARQL

binomial coefficient

<http://www.wikidata.org/entity/Q209875>

family of positive integers that occur as coefficients in the binomial theorem
rdfs:label
"binomial coefficient"@en
skos:altLabel
"choose"@en
"n choose k"@en
schema:description
"family of positive integers that occur as coefficients in the binomial theorem"@en
schema:dateModified "2026-11-13T20:03:18+00:00"^^xsd:dateTime
schema:version 2568836925
wikibase:identifiers 19
wikibase:sitelinks 52
wikibase:statements 40
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p:P11279 wd:statement/Q209875-75D5AC28-E860-477D-A9E9-37076FB8C4A4
p:P11497 wd:statement/Q209875-e7a67482-446d-5aee-5f57-bc69be22158c
p:P1269 wd:statement/Q209875-9f96560e-4613-0448-2d6c-2e51bc93f191
p:P12888 wd:statement/Q209875-1D794D27-005A-47C4-B64D-A73D8858293A
p:P1343 wd:statement/Q209875-06ec9068-45da-9b02-b0b2-80920bbff5b0
wd:statement/Q209875-25d7ca20-4eba-ca62-c15d-2d26cddc3c73
wd:statement/Q209875-51bc4330-493c-12de-048b-44e4c51ff1f3
wd:statement/Q209875-6C66A33D-2E51-466E-B6C8-5895F14D1125
wd:statement/Q209875-B0C61190-983E-4094-BFF5-B275B5F341C4
p:P1417 wd:statement/Q209875-A2C57E99-CBFA-4B94-AB12-12A1EF7F942C
p:P1889 wd:statement/Q209875-C8B2CA5E-D6D2-4B19-8818-9E28978706A2
p:P1993 wd:statement/Q209875-257389c8-4ee3-321d-b801-64374c41a580
wd:statement/Q209875-4a9de3f6-45bd-950d-afda-b8b38f2fb106
p:P227 wd:statement/Q209875-202f948c-4070-a1cc-1962-9608e57625ee
p:P2534 wd:statement/Q209875-39574F18-0520-429B-8967-9C6A6F65D7B4
p:P2579 wd:statement/Q209875-a17d2ee9-428d-2080-51de-b54127423ada
p:P279 wd:statement/Q209875-66330ca4-4629-63ee-1f63-aa0848121283
p:P2812 wd:statement/Q209875-08103022-0840-477F-AA08-B0254D099D62
p:P31 wd:statement/Q209875-e77178aa-494b-5842-2146-885cc8af3ab5
p:P3417 wd:statement/Q209875-035324F9-A99F-4573-B662-C2DCCC0E0B4C
p:P361 wd:statement/Q209875-288da9cb-4eb7-99e7-f08b-a06df76568ee
wd:statement/Q209875-9b1dda14-43a8-51e1-0827-801dbd3f3581
p:P373 wd:statement/q209875-C558E1E6-6B8C-4529-83E1-6FA6BA46F056
p:P3827 wd:statement/Q209875-046D3593-E672-4ED9-BB72-D2EC059FB614
p:P3847 wd:statement/Q209875-78667698-4938-bb2a-a6c7-fb135c164c2a
p:P460 wd:statement/Q209875-1d9f4bfe-45bb-9148-06a6-44cde298ceb1
p:P6104 wd:statement/Q209875-F63DC018-DC05-4B8D-8519-1159377A2BE7
p:P6262 wd:statement/Q209875-c1a77fb1-4656-43c8-7ce3-14d5543524b3
p:P6366 wd:statement/Q209875-E511C70F-AFD7-405E-93C1-70BF48A18E41
p:P646 wd:statement/Q209875-99EEE28C-DCE2-4708-A38E-60ED7C8373BE
p:P6781 wd:statement/Q209875-5ef60f54-4bbb-10ca-1e9f-e4146096bc8e
p:P7235 wd:statement/Q209875-b09f3bd2-4a59-5b9d-4a52-83a782ec8f0f
wd:statement/Q209875-bfda1ced-4dc3-9356-8e83-52daa3f10499
p:P7305 wd:statement/Q209875-9F1353AF-1A54-4DFD-B043-E18D33D4A3E1
p:P7554 wd:statement/Q209875-6a9dface-4155-8771-e898-39217c1f14b0
p:P7726 wd:statement/Q209875-80db698e-4876-dbb0-9f19-8e19609cebf5
p:P829 wd:statement/Q209875-996A8487-3F74-44F3-91C6-5E1934ED40A2
p:P8313 wd:statement/Q209875-7147BFB1-CC36-4F44-A8B1-85FAE558AF1A
p:P9621 wd:statement/Q209875-ced78503-4cf0-0044-f1c9-e5a982f2fde1
p:direct-normalized/P227 <https://d-nb.info/gnd/4145586-1>
p:direct-normalized/P6366 <https://makg.org/entity/34718186>
wdt:P10283 "C34718186"
wdt:P11279 combination
wdt:P11497 "1.2.i"
wdt:P1269 combination
wdt:P12888 "df-bc"
wdt:P1343 ISO 80000-2:2019 Quantities and units — Part 2: Mathematics
Mathwords
Encyclopedic Lexicon
The Art of Computer Programming, Volume 1: Fundamental Algorithms, 3rd edition
Brockhaus and Efron Encyclopedic Dictionary
wdt:P1417 "topic/binomial-coefficient"
wdt:P1889 binomial number
wdt:P1993 "\binom{n}{k}"
"{n \choose k}"
wdt:P227 "4145586-1"
wdt:P2534 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="OPEN"><mo minsize="2.047em">(</mo></mrow><mfrac linethickness="0"><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></mfrac><mrow data-mjx-texclass="CLOSE"><mo minsize="2.047em">)</mo></mrow></mrow></mstyle></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">!</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">!</mo><mo stretchy="false">(</mo><mi>n</mi><mo stretchy="false">&#x2212;</mo><mi>k</mi><mo stretchy="false">)</mo><mo stretchy="false">!</mo></mrow></mrow></mfrac></mrow><mo>,</mo><mn>0</mn><mo stretchy="false">&#x2264;</mo><mi>k</mi><mo stretchy="false">&#x2264;</mo><mi>n</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P2579 wd:Q114701977
wdt:P279 non-negative integer
wdt:P2812 "BinomialCoefficient"
wdt:P31 integer-valued function
wdt:P3417 "Binomial-Coefficients"
wdt:P361 Pascal's triangle
binomial theorem
wdt:P373 "Binomial coefficients"
wdt:P3827 "binomial-coefficients"
wdt:P3847 "binomial_coefficients"
wdt:P460 number of combinations without repetition
wdt:P6104 WikiProject Mathematics
wdt:P6262 "math:Binomial_coefficient"
wdt:P6366 "34718186"
wdt:P646 "/m/01h7m"
wdt:P6781 "Definition:Binomial_Coefficient"
wdt:P7235 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi><mo stretchy="false">!</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="OPEN"><mo minsize="2.047em">(</mo></mrow><mfrac linethickness="0"><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></mfrac><mrow data-mjx-texclass="CLOSE"><mo minsize="2.047em">)</mo></mrow></mrow></mstyle></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P7305 "3947031"
wdt:P7554 "Binomial_coefficients"
wdt:P7726 "BinomialCoefficient"
wdt:P829 "A073354"
wdt:P8313 "binomialkoefficient"
wdt:P9621 "coefficiente-binomiale"
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